3778560000 has 450 divisors, whose sum is σ = 13972700742. Its totient is φ = 983040000.

The previous prime is 3778559989. The next prime is 3778560013. The reversal of 3778560000 is 658773.

It can be written as a sum of positive squares in 5 ways, for example, as 2530492416 + 1248067584 = 50304^2 + 35328^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 92159980 + ... + 92160020.

Almost surely, 2^3778560000 is an apocalyptic number.

3778560000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3778560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6986350371).

3778560000 is an abundant number, since it is smaller than the sum of its proper divisors (10194140742).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3778560000 is an frugal number, since it uses more digits than its factorization.

3778560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 3778560000 is about 61469.9926793553. The cubic root of 3778560000 is about 1557.5503961323.

The spelling of 3778560000 in words is "three billion, seven hundred seventy-eight million, five hundred sixty thousand".